Sunday, December 6, 2020

Number of the day: 62093

Properties of the number 62093:

62093 is a cyclic number.
62093 = 31 × 2003 is semiprime and squarefree.
62093 has 2 distinct prime factors, 4 divisors, 23 antidivisors and 60060 totatives.
62093 has an oblong digit sum 20 in base 10.
62093 = 310472 - 310462 = 10172 - 9862 is the difference of 2 nonnegative squares in 2 ways.
62093 is the difference of 2 positive pentagonal numbers in 2 ways.
62093 = 212 + 462 + 2442 is the sum of 3 positive squares.
620932 is the sum of 3 positive squares.
62093 is a proper divisor of 111722 - 1.
62093 is an emirpimes in (at least) the following bases: 2, 3, 9, 11, 14, 17, 19, 23, 27, 29, 31, 32, 34, 40, 42, 47, 48, 49, 50, 51, 53, 55, 56, 58, 59, 61, 64, 67, 68, 70, 76, 79, 80, 82, 87, 89, 90, 92, 93, 95, 97, and 99.
62093 is palindromic in (at least) the following bases: 83, and -57.
62093 in base 18 = abbb and consists of only the digits 'a' and 'b'.

The number 62093 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A053391: Number of cycle types of direct products of two degree-n permutations.
A107586: Powers of e^(1/e) rounded up.
A128368: a(n) = least k such that the remainder when 28^k is divided by k is n.
A219898: Record values in A214551.

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